Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616731 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
Strongly convex sets in Hilbert spaces are characterized by local properties. One quantity which is used for this purpose is a generalization of the modulus of convexity δΩδΩ of a set ΩΩ. We also show that limε→0δΩ(ε)/ε2limε→0δΩ(ε)/ε2 exists whenever ΩΩ is closed and convex.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alexander Weber, Gunther Reißig,